3630009600 has 432 divisors, whose sum is σ = 15217498240. Its totient is φ = 829440000.

The previous prime is 3630009599. The next prime is 3630009611. The reversal of 3630009600 is 69000363.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1208100 + ... + 1211100.

Almost surely, 2^3630009600 is an apocalyptic number.

3630009600 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3630009600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7608749120).

3630009600 is an abundant number, since it is smaller than the sum of its proper divisors (11587488640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3630009600 is a wasteful number, since it uses less digits than its factorization.

3630009600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3043 (or 3018 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 3630009600 is about 60249.5609942512. The cubic root of 3630009600 is about 1536.8657229056.

Adding to 3630009600 its reverse (69000363), we get a palindrome (3699009963).

The spelling of 3630009600 in words is "three billion, six hundred thirty million, nine thousand, six hundred".